Solve 3*610^6/14*5*100065^2=

$$\frac{ 3 \cdot 6 { 10 }^{ 6 } }{ 14 \cdot 5 \cdot 1000 { 65 }^{ 2 } } =$$

Evaluate

$$\frac{72}{1183}\approx 0.060862215$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 3\times 10^{6}}{5\times 7\times 1000\times 65^{2}}$$

Multiply 3 and 3 to get 9.

$$\frac{9\times 10^{6}}{5\times 7\times 1000\times 65^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9\times 1000000}{5\times 7\times 1000\times 65^{2}}$$

Multiply 9 and 1000000 to get 9000000.

$$\frac{9000000}{5\times 7\times 1000\times 65^{2}}$$

Multiply 5 and 7 to get 35.

$$\frac{9000000}{35\times 1000\times 65^{2}}$$

Multiply 35 and 1000 to get 35000.

$$\frac{9000000}{35000\times 65^{2}}$$

Calculate 65 to the power of 2 and get 4225.

$$\frac{9000000}{35000\times 4225}$$

Multiply 35000 and 4225 to get 147875000.

$$\frac{9000000}{147875000}$$

Reduce the fraction \frac{9000000}{147875000} to lowest terms by extracting and canceling out 125000.

$$\frac{72}{1183}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{7 \cdot 13 ^ {2}} = 0.060862214708368556$$